Controlled-pressure casting of molten metals using a die with an extractable punch and a fixed die, includes positioning and stopping the punch within the die so as to define a casting cavity with a volume greater that that of the part to be obtained. A metered amount of liquid metal is then poured into the casting cavity through a duct which leads into the cavity, and the punch is moved to close inside the die so as to create a pressure suitable for distributing the metal throughout the cavity. A high-pressure compression is then exerted on the metal contained in the cavity and, maintained until the molten metal solidifies, the punch is partially removed from the die, with separation of the punch from the formed part, before finally removing the punch from the die and extracting the part from the die.